Abstract
This paper presents a proposal designed to reduce the time required by the process to estimate the parameters of a system by accelerating the direct-problem solution as the slow phase in any estimation method. This proposal is considered a complement to existing procedures, such as the combination of different optimization methods for the purpose of reducing the number of calls to the objective function. The proposal consists of a procedure that helps study the relation between the direct-problem solution step and the time required for this solution, as well as the influence of the direct solution’s built-in error on the accuracy of the estimated parameters. Consequently, the extent in which the estimation process can be accelerated without impairing estimation accuracy can be determined. For the purpose of testing its viability, this proposal was applied to the estimation problem of the kinetic parameters of a chromatography column process, as modeled using the front-velocity method. The results from this test show that, by accelerating the direct-problem solution, the estimation time can be reduced significantly, without affecting the accuracy of the estimation.
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Acknowledgements
The authors acknowledge the financial support provided by the Brazilian Agencies FAPERJ, Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro; CNPq, Conselho Nacional de Desenvolvimento Científico e Tecnológico; and CAPES, Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, as well as the Ministerio de Educación Superior de Cuba (MES/Cuba).
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Prieto-Moreno, A., Câmara, L.D.T., Llanes-Santiago, O. (2016). Accelerated Direct-Problem Solution: A Complementary Method for Computational Time Reduction. In: Silva Neto, A., Llanes Santiago, O., Silva, G. (eds) Mathematical Modeling and Computational Intelligence in Engineering Applications. Springer, Cham. https://doi.org/10.1007/978-3-319-38869-4_8
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